Hybrid synchronization of hyperchaotic Chen systems via sliding mode control

Abstract

This paper investigates the hybrid synchronization of hyperchaotic Chen systems (Jia, Dai and Hui, 2010) via sliding mode control. The stability results for the sliding mode control based synchronization schemes derived in this paper are established using Lyapunov stability theory. The sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical hyperchaotic Chen systems because the Lyapunov exponents are not required for these calculations. Numerical simulations are presented to demonstrate the sliding mode control results derived in this paper for the hybrid synchronization of identical hyperchaotic Chen systems. © Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2012.